Each of the following questions concern s(t)=64-16(t-1) 2 b) Use appropriate com

Question

Each of the following questions concern s(t)=64-16(t-1)2

b) Use appropriate computing technology to estimate the instantaneous velocity of the ball at t=1.5. Likewise, estimate the instantaneous velocity of the ball at t=2, which value is greater?

C) How is the sign of the instantaneous velocity of the ball related to its behavior at a given point in time? That is, what does positive instantaneous velocity tell you the ball is doing? Negative instantaneous velocity?

d) without doing any computations, what do you expect to be the instantaneous velocity of the ball at t=1. Why?

I'm not sure how to compute and estimate the instantaneous velocity. Please help!

Explanation / Answer

s(t)=64-16(t-1)2

b) instantaneous velocity =ds/dt =0 -32*(t-1) =32-32t

at t=1.5 instantaneous velocity =32-32*1.5= -16

at t=2 instantaneous velocity =32-32*2= -32

at t=2 value is greater

c)negative indicates velocity decreasing in direction of motion

d)0. beacause at t=1, s=64(constant) i.e, independant of t

Related Questions

Navigate

• Browse (All)
• Browse E
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.